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Finding the Fourth Proportional to 4,934.96, 7,402.24 and 1,647.80

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Solution

The fourth proportional to 4,934.96, 7,402.24 and 1,647.80 is: 2,471.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.96 : 7,402.24 = 1,647.80 : x
  2. Step 2: Convert to fraction form
    4,934.96/7,402.24 = 1,647.80/x
  3. Step 3: Cross multiply
    4,934.96x = 7,402.24 × 1,647.80
  4. Step 4: Simplify right side
    4,934.96x = 12,197,411.07
  5. Step 5: Solve for x
    x = 12,197,411.07/4,934.96
  6. Step 6: Final answer
    x = 2,471.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.